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Finding the Fourth Proportional to 213,468, 294,591.72 and 117,980.88

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Solution

The fourth proportional to 213,468, 294,591.72 and 117,980.88 is: 162,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,468 : 294,591.72 = 117,980.88 : x
  2. Step 2: Convert to fraction form
    213,468/294,591.72 = 117,980.88/x
  3. Step 3: Cross multiply
    213,468x = 294,591.72 × 117,980.88
  4. Step 4: Simplify right side
    213,468x = 34,756,190,366.31
  5. Step 5: Solve for x
    x = 34,756,190,366.31/213,468
  6. Step 6: Final answer
    x = 162,816.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.